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SUMMARY:Scott Collier (PCTS)
DTSTART:20210226T184500Z
DTEND:20210226T194500Z
DTSTAMP:20260423T010139Z
UID:PUHET/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PUHET/13/">C
 omments on the Narain ensemble of free CFTs</a>\nby Scott Collier (PCTS) a
 s part of Princeton HET seminar\n\n\nAbstract\nI will discuss the spectral
  statistics of primary operators in the recently formulated ensemble avera
 ge of Narain's family of free boson CFTs\, which provides an explicit (tho
 ugh rather exotic) example of an averaged AdS$_3$/CFT$_2$ holographic dual
 ity. I will focus on the computation of higher moments of the torus partit
 ion function\, and will present an explicit computation of the spectral fo
 rm factor of the dual ``U(1) gravity\,'' which can be written in terms of 
 a suitable analytic continuation of a degree-two Eisenstein series. I will
  identify the terms in the sum over ``geometries'' that lead to a late-tim
 e plateau in the spectral form factor\, and will demonstrate the absence o
 f a linear ramp approaching the plateau from below. If time permits\, I wi
 ll also discuss some ongoing work using Narain's family of CFTs as a testi
 ng ground for the incorporation of the spectral theory of automorphic form
 s into the two-dimensional conformal bootstrap.\n
LOCATION:https://researchseminars.org/talk/PUHET/13/
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